22212002120 has 256 divisors, whose sum is σ = 66251520000. Its totient is φ = 6488616960.

The previous prime is 22212002093. The next prime is 22212002123. The reversal of 22212002120 is 2120021222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22212002095 and 22212002104.

It is not an unprimeable number, because it can be changed into a prime (22212002123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14817131 + ... + 14818629.

It is an arithmetic number, because the mean of its divisors is an integer number (258795000).

Almost surely, 2^22212002120 is an apocalyptic number.

22212002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33125760000).

22212002120 is an abundant number, since it is smaller than the sum of its proper divisors (44039517880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22212002120 is a wasteful number, since it uses less digits than its factorization.

22212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22212002120 its reverse (2120021222), we get a palindrome (24332023342).

It can be divided in two parts, 2 and 2212002120, that added together give a palindrome (2212002122).

The spelling of 22212002120 in words is "twenty-two billion, two hundred twelve million, two thousand, one hundred twenty".